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Estimating Alternative Technology Sets in Nonparametric Efficiency Analysis: Restriction Tests for Panel and Clustered Data

  • Anne Neumann
  • Maria Nieswand
  • Torben Schubert

Nonparametric efficiency analysis has become a widely applied technique to support industrial benchmarking as well as a variety of incentive- based regulation policies. In practice such exercises are often plagued by incomplete knowledge about the correct specifications of inputs and outputs. Simar and Wilson (2001) and Schubert and Simar (2011) propose restriction tests to support such specification decisions for cross-section data. However, the typical oligopolized market structure pertinent to regulation contexts often leads to low numbers of cross-section observations, rendering reliable estimation based on these tests practically unfeasible. This small-sample problem could often be avoided with the use of panel data, which would in any case require an extension of the cross-section restriction tests to handle panel data. In this paper we derive these tests. We prove the consistency of the proposed method and apply it to a sample of US natural gas transmission companies in 2003 through 2007. We find that the total quantity of gas delivered and gas delivered in peak periods measure essentially the same output. Therefore only one needs to be included. We also show that the length of mains as a measure of transportation service is non-redundant and therefore must be included.

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Paper provided by DIW Berlin, German Institute for Economic Research in its series Discussion Papers of DIW Berlin with number 1283.

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Length: 33 p.
Date of creation: 2013
Date of revision:
Handle: RePEc:diw:diwwpp:dp1283
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  1. Simar, L. & Wilson, P.W., 1999. "Statistical Inference in Nonparametric Frontier Models: the State of the Art," Papers 9904, Catholique de Louvain - Institut de statistique.
  2. Alois Kneip & Léopold Simar & Paul W. Wilson, 2006. "Asymptotics and Consistent Bootstraps for DEA Estimators in Non-parametric Frontier Models," Bonn Econ Discussion Papers bgse12_2006, University of Bonn, Germany.
  3. Mehdi Farsi & Aurelio Fetz & Massimo Filippini, 2007. "Benchmarking and Regulation in the Electricity Distribution Sector," CEPE Working paper series 07-54, CEPE Center for Energy Policy and Economics, ETH Zurich.
  4. Jamasb, T. & Pollitt, M., 2001. "International Benchmarking and Yardstick Regulation: An Application to European Electricity Utilities," Cambridge Working Papers in Economics 0115, Faculty of Economics, University of Cambridge.
  5. Jamasb, Tooraj & Pollitt, Michael, 2003. "International benchmarking and regulation: an application to European electricity distribution utilities," Energy Policy, Elsevier, vol. 31(15), pages 1609-1622, December.
  6. Jamasb, Tooraj & Nillesen, Paul & Pollitt, Michael, 2004. "Strategic behaviour under regulatory benchmarking," Energy Economics, Elsevier, vol. 26(5), pages 825-843, September.
  7. Léopold Simar & Paul Wilson, 2011. "Inference by the m out of n bootstrap in nonparametric frontier models," Journal of Productivity Analysis, Springer, vol. 36(1), pages 33-53, August.
  8. Tim Coelli & Antonio Estache & Sergio Perelman & Lourdes Trujillo, 2003. "A Primer on Efficiency Measurement for Utilities and Transport Regulators," World Bank Publications, The World Bank, number 15149, December.
  9. Léopold Simar & Paul W. Wilson, 1998. "Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models," Management Science, INFORMS, vol. 44(1), pages 49-61, January.
  10. Schefczyk, Michael, 1993. "Industrial benchmarking: A case study of performance analysis techniques," International Journal of Production Economics, Elsevier, vol. 32(1), pages 1-11, August.
  11. Joskow, P.L., 2006. "Incentive Regulation in Theory and Practice: Electricity Distribution and Transmission Networks," Cambridge Working Papers in Economics 0607, Faculty of Economics, University of Cambridge.
  12. Jamasb, T. & Pollitt, M.G. & Triebs, T., 2008. "Productivity and Efficiency of US Gas Transmission Companies: A European Regulatory Perspective," Cambridge Working Papers in Economics 0812, Faculty of Economics, University of Cambridge.
  13. Homburg, Carsten, 2001. "Using data envelopment analysis to benchmark activities," International Journal of Production Economics, Elsevier, vol. 73(1), pages 51-58, August.
  14. Haney, Aoife Brophy & Pollitt, Michael G., 2009. "Efficiency analysis of energy networks: An international survey of regulators," Energy Policy, Elsevier, vol. 37(12), pages 5814-5830, December.
  15. Dyson, R. G. & Allen, R. & Camanho, A. S. & Podinovski, V. V. & Sarrico, C. S. & Shale, E. A., 2001. "Pitfalls and protocols in DEA," European Journal of Operational Research, Elsevier, vol. 132(2), pages 245-259, July.
  16. Astrid Cullmann, 2012. "Benchmarking and firm heterogeneity: a latent class analysis for German electricity distribution companies," Empirical Economics, Springer, vol. 42(1), pages 147-169, February.
  17. Léopold Simar, 2003. "Detecting Outliers in Frontier Models: A Simple Approach," Journal of Productivity Analysis, Springer, vol. 20(3), pages 391-424, November.
  18. Shuttleworth, Graham, 2005. "Benchmarking of electricity networks: Practical problems with its use for regulation," Utilities Policy, Elsevier, vol. 13(4), pages 310-317, December.
  19. Vogelsang, Ingo, 2002. "Incentive Regulation and Competition in Public Utility Markets: A 20-Year Perspective," Journal of Regulatory Economics, Springer, vol. 22(1), pages 5-27, July.
  20. M.E. Beesley & S.C. Littlechild, 1989. "The Regulation of Privatized Monopolies in the United Kingdom," RAND Journal of Economics, The RAND Corporation, vol. 20(3), pages 454-472, Autumn.
  21. Torben Schubert & Léopold Simar, 2011. "Innovation and export activities in the German mechanical engineering sector: an application of testing restrictions in production analysis," Journal of Productivity Analysis, Springer, vol. 36(1), pages 55-69, August.
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